根据 Flexbugs:

在 IE 10-11 中，弹性容器上的 min-height 声明用于调整容器本身的大小，但它们的弹性项目子项似乎不知道其父项的大小.它们就好像根本没有设置高度一样.

In IE 10-11, min-height declarations on flex containers work to size the containers themselves, but their flex item children do not seem to know the size of their parents. They act as if no height has been set at all.

这里有几个解决方法:

1.始终填充视口 + 可滚动

1. Always fill the viewport + scrollable <aside> and <section>:

html {
  height: 100%;
}

body {
  display: flex;
  flex-direction: column;
  height: 100%;
  margin: 0;
}

header,
footer {
  background: #7092bf;
}

main {
  min-height: 0; /* added 2021*/
  flex: 1;
  display: flex;
}

aside, section {
  overflow: auto;
}

aside {
  flex: 0 0 150px;
  background: #3e48cc;
}

section {
  flex: 1;
  background: #9ad9ea;
}

<header>
  <p>header</p>
</header>

<main>
  <aside>
    <p>aside</p>
  </aside>
  <section>
    <p>content</p>
    <p>content</p>
    <p>content</p>
    <p>content</p>
    <p>content</p>
    <p>content</p>
    <p>content</p>
    <p>content</p>
    <p>content</p>
    <p>content</p>
  </section>
</main>

<footer>
  <p>footer</p>
</footer>

2.最初填充视口 + 普通页面滚动更多内容:

html {
  height: 100%;
}

body {
  display: flex;
  flex-direction: column;
  height: 100%;
  margin: 0;
}

header,
footer {
  background: #7092bf;
}

main {
  flex: 1 0 auto;
  display: flex;
}

aside {
  flex: 0 0 150px;
  background: #3e48cc;
}

section {
  flex: 1;
  background: #9ad9ea;
}

<header>
  <p>header</p>
</header>

<main>
  <aside>
    <p>aside</p>
  </aside>
  <section>
    <p>content</p>
    <p>content</p>
    <p>content</p>
    <p>content</p>
    <p>content</p>
    <p>content</p>
    <p>content</p>
    <p>content</p>
    <p>content</p>
    <p>content</p>
  </section>
</main>

<footer>
  <p>footer</p>
</footer>